Practice And Research Of High School Mathematics Concept Teaching Based On "Problem Solving"

This paper carries out the analysis and research of mathematics concept teaching and problem-solving teaching mode,its purpose is through the investigation,analysis and practice,the teaching design of good teaching effect.This paper mainly studies the related literature study of the mathematical concept teaching and the problem solving model,investigation and understanding of the teaching status of mathematical concepts with derivative as an example,design criteria based on problem solving teaching,"problem solving" in the teaching of mathematics concept and the application of the strategy,the teaching practice and enlightenment of the derivative and related concepts under the problem solving.(1)Related literature study on mathematical concept teaching and problem solving modelThrough access to information and reading the relevant literature,in-depth understanding of the theory and the development of problem solving and mathematics concept teaching.In comparison,the research on problem solving model,foreign countries started earlier,China started late.Through understanding and learning,let me know more about its development and theory.(2)the present situation of the teaching of mathematical concepts with derivative as an exampleThrough the analysis of the questionnaire,we learned the deficiencies and difficulties of the students' learning process and the present situation of the derivative teaching.The questionnaire found that the teachers there are several problems in the teaching process.Teachers pay more attention to the teaching of mathematical concepts in the teaching process,but the actual operation of teachers during the teaching method needs to be improved,teachers should focus on studying the theory of teaching,enrich their teaching methods,give students more wonderful teaching.Set up a part of the teacher in teaching,but what type given problems,what kind of presentation directly affect the classroom learning effect,it is worth the time and effort to study.In the classroom teaching,teachers in classroom control such as details of job inspection efforts,take care of students' basic differences,students answer the question also indirectly affect the classroom effect.This requires teachers to conduct the teaching of mathematics concepts in problem solving to earnestly implement every step to ensure a good teaching effect.(3)Teaching design standards based on problem solvingUsing the problem solving teaching model to design the mathematical concept with the derivative as an example.The teaching design should comply with the following standards:the problem should be in accordance with the students' cognitive level;the problem should be carried out around the teaching goal;the question of "leaving white"should be appropriate;the problem should be guided.(4)The practice and enlightenment of mathematical concept teaching based on problem solvingAnalysis and summary of the derivative of "problem solving" and the teaching practice of related concepts.In the actual teaching process,we should define teaching strategies,set up mathematical problems,move from easy to difficult,step by step,let students understand every step and link,and guide students to think step by step.The final analysis of the full text,to evaluate the teaching of mathematical concepts under the teaching model,and to look forward to the concept teaching in the later period according to the results of the investigation and the process of teaching practice.